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natita [175]
3 years ago
13

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b

elow:
Male Female
Type A 65 85
Type B 38 12
Compare P(female | Type B) with P(Female or Type B)
A) P(Female | Type B) < P(Female or Type B)
B) P(Female | Type B) > P(Female or Type B)
C) P(Female | Type B) = P(Female or Type B)
D) There is not enough information.
Mathematics
1 answer:
aalyn [17]3 years ago
7 0
D) there is not enough information
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Step-by-step explanation:

  • for the value of difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum

[in A-B=X, A is minuend and B is subtrahend ]

  • so, $a.b should be maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.

therefore, $a.b=9*8=72

  • as mentioned above, c.d$ should be minimum. this will be possible only when we choose  2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.

therefore, c.d$ = 1*2 = 2

  • hence, the difference = 72-2 = 70
  • thus,  the largest possible value of the difference $a.b - c.d$ = 70
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